Grade 4 Conversion of Units

Transcription

1 ID : ae-4-conversion-of-units [1] Grade 4 Conversion of Units For more such worksheets visit Answer the questions (1) A water storage tank is filled with 94 l of water. On the first day of the week, 5 l 747 ml was used. On the next day, 6 l 321 ml was used. How much water is left in the tank? (2) Convert the units: 27095ml = l ml (3) The total length of three sticks is 13.1 m. If the length of the two sticks are 5 m 24 cm, and 4 m 58 cm, what is the length of the third stick? (4) A cuboid container is 5 m long, 4 m wide and 4 m high. How many litres of water can the tank hold? (5) Convert the following: 7kl 62hl 41dal 94l = l (6) The given buckets contain different amount of water. By using the given clues, find out the amount of water in bucket C : Clue 1: Bucket A holds 9 l of water. Clue 2: Bucket B holds 4 l 390 ml more water than Bucket A. Clue 3: Bucket C holds 3 l 550 ml less water than Bucket B. (7) Convert the units: 24204l = kl l (8) A group of 4 workers are painting the fence of a factory. If 65.1 m of the fence is already painted, and each worker can paint 5 m 300 mm of the fence every hour, what is the total length of the fence that would have been painted after an hour? (9) Aden is travelling to Ras Al Khaimah and has already traveled 1360 kms. If 32 % of his journey is still remaining, how many kilometers does he still have to travel? (10) Convert the following: 3cm 28mm = mm (11) Convert the units: 2800 centimeters = meters

2 (12) Convert the units: 28156mg = g mg ID : ae-4-conversion-of-units [2] Fill in the blanks (13) Convert the units: A) 11 meters = millimeters B) 14 grams = centigrams C) 18 meters = millimeters D) 1 meter = centimeters (14) Convert the units: A) 9 meters = centimeters B) 3 meters = centimeters C) 49 meters = centimeters D) 35 meters = centimeters (15) Convert the units: A) 31 centimeters = millimeters B) 1 centimeter = millimeters C) 40 centimeters = millimeters D) 19 centimeters = millimeters 2017 Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : ae-4-conversion-of-units [3] (1) 81 l 932 ml Volume of water in the tank = 94 l = ml = ml Volume of water used on the first day of the week = 5 l 747 ml = 5000 ml ml = 5747 ml Volume of water used on the second day of the week = 6 l 321 ml = 6000 ml ml = 6321 ml So, the total volume of water used = Volume of water used on the first day of the week + Volume of water used on the second day of the week = 5 l 747 ml + 6 l 321 ml = 5747 ml ml = ml Volume of water left in the tank = Volume of water in the tank Volume of water used = ml ml = ml Step 4 We know, 1000 ml = 1 l So, ml = ml ml = 81 l 932 ml Step 5 Hence, 81 l 932 ml of water is left in the tank. (2) 27l 95ml As we know that there are 1000ml in 1l. Therefore, to convert the given quantity into litres, we have to divide it by On dividing by 1000, we get a quotient of 27000, and a remainder of 95. This means that the above quantity can also be written as 27000l and 95ml.

4 (3) 3 m 28 cm ID : ae-4-conversion-of-units [4] Total length of the three sticks = 13.1 m Length of the one stick = 5 m 24 cm = /100 m = 5.24 m Length of the second stick = 4 m 58 cm = /100 =4.58 m Step 4 Length of the third stick = Total length of the three stick - Length of the first stick - Length of the second stick = m = 3.28 m = 3 m 28 cm Step 5 Therefore, the length of the third stick is 3 m 28 cm. (4) litres Length of the cuboid, L = 5 m Width of the cuboid, W = 4 m Height of the cuboid, H = 4 m Capacity of the tank = L W H = m 3 = 80 m 3 Since, 1 m 3 = 1000 litres Now, the capacity of the tank = litres = litres Therefore, the volume of the water that tank can hold is litres.

5 (5) ID : ae-4-conversion-of-units [5] Let us first convert the given units into litres individually. As, 1kl = 1000l, 7kl = 7 x 1000 = 7000l. As, 1hl = 100l, 62hl = 62 x 100 = 6200l. Step 4 As, 1dal = 10l, 41dal = 41 x 10 = 410l Step 5 Now, since all the individual units are converted into liters, we can add them together. 7kl 62hl 41dal 94l = 7000l l + 410l + 94l = 13704l (6) 9 l 840 ml We are given that the amount of water bucket A holds = 9 l Also, we know that bucket B holds 4 l 390 ml more than bucket A. So, the amount of water bucket B holds = 9 l + 4 l 390 ml (As, 1 l = 1000 ml) = 9000 ml ml = ml It is also given that bucket C holds 3 l 550 ml more than bucket B. So, the amount of water bucket C holds = l 550 ml (As, 1 l = 1000 ml ) = ml 3550 ml = 9840 ml = 9 l 840 ml Hence, the amount of water in bucket C is 9 l 840 ml.

6 (7) 24kl 204l ID : ae-4-conversion-of-units [6] As we know that 1kl = 1000l, we can say that to convert 24204l into kilolitres, we need to divide it by On dividing by 1000, we get a quotient of 24, and a remainder of 204. This means that the above given quantity can also be written as 24kl 204l. (8) 86.3 m Each worker can paint a length of 5 m 300 mm in one hour. As we know that there are 1000mm in 1m, or m in 1 mm, we may say that each worker is able to paint a length of , or = 5.3 m of fence in one hour. The number of workers is 4, hence the total length painted in one hour will be equal to = 21.2m. Therefore the length of fence that is painted after an hour will be equal to = 86.3 m.

7 (9) 640 km ID : ae-4-conversion-of-units [7] Distance already traveled by the Aden = 1360 kms Journey remaining = 32 % Journey traveled so far = = 68 % Therefore, 68% of total distance equals 1360 kms Step % of distance equals = 68 = 2000 km = Total Distance Step 5 therefore, the remaining distance to be traveled by Aden = Total distance - distance already traveled = km = 640 km Step 6 Therefore, 640 km is still have to traveled by Aden. (10) 58 We know that there are 10mm in 1cm. Therefore, in 3cm there will be 3 10 = 30mm. Hence, 3cm 28mm = 30mm + 28mm = 58mm.

8 (11) 28 ID : ae-4-conversion-of-units [8] Since we know that there are 100 centimeters in 1 meter, we can say that there are in 1 centimeter meters Now if 1 centimeters = meters, 2800 centimeters will be equal to = 28 meters. (12) 28g 156mg Since we know that there are 1000mg in 1g, we will need to divide by 1000 to convert it into milligrams. On dividing by 1000 we have 28 as the quotient and 156 as the remainder. From step 2 we can conclude that the above quantity can also be written as 28g 156mg. (13) A) We know, 1 meter = 1000 millimeters. Therefore, 11 meters = = millimeters. B) 1400 We know, 1 gram = 100 centigrams. Therefore, 14 grams = = 1400 centigrams.

9 ID : ae-4-conversion-of-units [9] C) We know, 1 meter = 1000 millimeters. Therefore, 18 meters = = millimeters. D) 100 We know, 1 meter = 100 centimeters.. (14) A) 900 We know that there are 100 centimeters in 1 meter. Therefore, in 9 meters there will be = 900 centimeters. B) 300 We know that there are 100 centimeters in 1 meter. Therefore, in 3 meters there will be = 300 centimeters. C) 4900 We know that there are 100 centimeters in 1 meter. Therefore, in 49 meters there will be = 4900 centimeters.

10 ID : ae-4-conversion-of-units [10] D) 3500 We know that there are 100 centimeters in 1 meter. Therefore, in 35 meters there will be = 3500 centimeters. (15) A) 310 We know that there are 10 millimeters in 1 centimeter. Therefore, in 31 centimeters there will be = 310 millimeters. B) 10 We know that there are 10 millimeters in 1 centimeter. Therefore, in 1 centimeter there will be 1 10 = 10 millimeters. C) 400 We know that there are 10 millimeters in 1 centimeter. Therefore, in 40 centimeters there will be = 400 millimeters. D) 190 We know that there are 10 millimeters in 1 centimeter. Therefore, in 19 centimeters there will be = 190 millimeters.